Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions

DOI10.1016/0362-546X(94)90220-8zbMath0822.35096MaRDI QIDQ4317000

Irena Lasiecka

Publication date: 19 December 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

von Kármán plate equationsnonlinear multivalued boundary conditionsabstract second order (in time) nonlinear differential equations

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Plates (74K20) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• Feedback boundary control problems for linear semigroups
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions
• A remark on the equation of a vibrating plate
• Numerical Approximations of Algebraic Riccati Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications
• Local exponential stabilization for a nonlinearly perturbed von Kármán plate
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